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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 251 · 40 questions
TalentJR

How to think it through (Two sure moves): The “if” part happened → the “then” part must be true. The “then” part did not happen → the “if” part must be false. The “then” part happened, or the “if” part did not happen → we can’t tell.

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  1. 1.Rule: If the shop is open, then Aditya buys milk. Fact: The shop is open. What can you say about “Aditya buys milk”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya does not finish the homework. What can you say about “Diya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Priya buys milk. Fact: The shop is open. What can you say about “Priya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If the shop is open, then Diya buys milk. Fact: Diya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha does not get a medal. What can you say about “Nisha does not win the match”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara does not go to the park”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan finishes the homework. What can you say about “Vivaan goes to the park”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Ira wins the match, then Ira gets a medal. Fact: Ira wins the match. What can you say about “Ira gets a medal”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Yash finishes the homework, then Yash goes to the park. Fact: Yash goes to the park. What can you say about “Yash does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Meera buys milk. Fact: Meera does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the shop is open, then Tara buys milk. Fact: The shop is open. What can you say about “Tara buys milk”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Sneha wins the match, then Sneha gets a medal. Fact: Sneha gets a medal. What can you say about “Sneha does not win the match”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Diya scores above 90, then Diya gets a gold star. Fact: Diya does not score above 90. What can you say about “Diya gets a gold star”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav goes to the park. What can you say about “Manav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If the shop is open, then Farhan buys milk. Fact: The shop is open. What can you say about “Farhan does not buy milk”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun does not finish the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If Manav scores above 90, then Manav gets a gold star. Fact: Manav does not get a gold star. What can you say about “Manav does not score above 90”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir does not get a medal. What can you say about “Kabir wins the match”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant does not stay green”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If the shop is open, then Rahul buys milk. Fact: Rahul buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Aisha wins the match, then Aisha gets a medal. Fact: Aisha gets a medal. What can you say about “Aisha wins the match”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If Farhan finishes the homework, then Farhan goes to the park. Fact: Farhan goes to the park. What can you say about “Farhan finishes the homework”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. must be true
  2. can't tell
  3. can't tell
  4. can't tell
  5. must be false
  6. must be true
  7. must be false
  8. can't tell
  9. can't tell
  10. can't tell
  11. must be true
  12. must be false
  13. must be true
  14. must be true
  15. can't tell
  16. must be true
  17. must be false
  18. must be true
  19. can't tell
  20. can't tell
  21. must be true
  22. must be false
  23. can't tell
  24. can't tell
  25. can't tell
  26. can't tell
  27. must be true
  28. can't tell
  29. can't tell
  30. must be false
  31. can't tell
  32. can't tell
  33. must be true
  34. must be false
  35. must be false
  36. can't tell
  37. can't tell
  38. must be true
  39. can't tell
  40. can't tell

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